Pith Number

pith:6PFK75MG

pith:2016:6PFK75MGAKTULTOGGMBPHBH7R7

not attested not anchored not stored refs pending

Application of the AAK theory for sparse approximation of exponential sums

Gerlind Plonka, Vlada Pototskaia

arxiv:1609.09603 v1 · 2016-09-30 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PFK75MGAKTULTOGGMBPHBH7R7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:03:35.572582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3caaff58602a745cdc63302f384ff8ff61e14d84ce9a2967951bc1e4e3836ad

Aliases

arxiv: 1609.09603 · arxiv_version: 1609.09603v1 · doi: 10.48550/arxiv.1609.09603 · pith_short_12: 6PFK75MGAKTU · pith_short_16: 6PFK75MGAKTULTOG · pith_short_8: 6PFK75MG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6PFK75MGAKTULTOGGMBPHBH7R7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f3caaff58602a745cdc63302f384ff8ff61e14d84ce9a2967951bc1e4e3836ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0566b86e1f8d8d61ca7cf66f9d7126611dfc72664bbd2ce5250a5551b093aca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-30T05:54:40Z",
    "title_canon_sha256": "4239479bf1ebb4fc27f711c4f84ffd03da04bb27899def13db98598863f86284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09603",
    "kind": "arxiv",
    "version": 1
  }
}